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Finding the Fourth Proportional to 724.41, 1,086.70 and 262.24

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Solution

The fourth proportional to 724.41, 1,086.70 and 262.24 is: 393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.41 : 1,086.70 = 262.24 : x
  2. Step 2: Convert to fraction form
    724.41/1,086.70 = 262.24/x
  3. Step 3: Cross multiply
    724.41x = 1,086.70 × 262.24
  4. Step 4: Simplify right side
    724.41x = 284,973.33
  5. Step 5: Solve for x
    x = 284,973.33/724.41
  6. Step 6: Final answer
    x = 393.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.